141 citations · 227 across the 10 of their papers we have counts for
10 papers
Optimal fermionic swap networks for Hubbard models
Tobias Hagge
We propose an efficient variation of the fermionic swap network scheme used to efficiently simulate n-dimensional Fermi-Hubbard-model Hamiltonians encoded using the Jordan-Wigner t…
Enforcing constraints for interpolation and extrapolation in Generative Adversarial Networks
Panos Stinis, Tobias Hagge, Alexandre M. Tartakovsky +1
We suggest ways to enforce given constraints in the output of a Generative Adversarial Network (GAN) generator both for interpolation and extrapolation (prediction). For the case o…
Solving differential equations with unknown constitutive relations as recurrent neural networks
Tobias Hagge, Panos Stinis, Enoch Yeung +1
We solve a system of ordinary differential equations with an unknown functional form of a sink (reaction rate) term. We assume that the measurements (time series) of state variable…
Fermionic Modular Categories and the 16-fold Way
Paul Bruillard, Cesar Galindo, Tobias Hagge +4
We study spin and super-modular categories systematically as inspired by fermionic topological phases of matter, which are always fermion parity enriched and modelled by spin TQFTs…
Geometric Invariants for Fusion Categories
Tobias Hagge, Matthew Titsworth
The problem of determining gauge and monoidal equivalence classes of fusion categories is considered from the perspective of geometric invariant theory. It is shown that the gauge…
On Arithmetic Modular Categories
Orit Davidovich, Tobias Hagge, Zhenghan Wang
Modular categories are important algebraic structures in a variety of subjects in mathematics and physics. We provide an explicit, motivated and elementary definition of a modular…